The renormalization constant for a one-dimensional (1D) interacting electron gas is investigated within the framework of the GW approximation. It is found that the renormalization constant for the 1D interacting electron gas becomes zero in contrast to the case of a non-interacting electron gas, which implies that the Coulomb interaction makes the 1D electron gas system an unconventional Fermi liquid. Results for the 1D system are discussed in comparison with the known properties for the 2D and 3D electron gases.The renormalization constant for a one-dimensional (1D) interacting electron gas is investigated within the framework of the GW approximation. It is found that the renormalization constant for the 1D interacting electron gas becomes zero in contrast to the case of a non-interacting electron gas, which implies that the Coulomb interaction makes the 1D electron gas system an unconventional Fermi liquid. Results for the 1D system are discussed in comparison with the known properties for the 2D and 3D electron gases.

Jan 1, 19930 citations

Electron Gas

Philippe A. Martin, FRANÇOIS ROTHEN

Springer eBooksJan 1, 20020 citations

Single-electron oscillations in the one-dimensional interacting electron gas

D. V. Averin, Yuli V. Nazarov

We have shown that the one-dimensional interacting electron gas carrying dc current I should exhibit single-electron singularities at frequency ${\mathrm{\ensuremath{\omega}}}_{\mathit{s}}$=2\ensuremath{\pi}I/e for arbitrary strength of electron-electron interaction. These singularities arise due to Coulomb or Fermi correlations between electrons in the gas. Depending on the strength of the interaction the frequency ${\mathrm{\ensuremath{\omega}}}_{\mathit{s}}$ can be interpreted either as a frequency of the single-electron oscillations or the cutoff frequency of the shot noise associated with the current I.We have shown that the one-dimensional interacting electron gas carrying dc current I should exhibit single-electron singularities at frequency ${\mathrm{\ensuremath{\omega}}}_{\mathit{s}}$=2\ensuremath{\pi}I/e for arbitrary strength of electron-electron interaction. These singularities arise due to Coulomb or Fermi correlations between electrons in the gas. Depending on the strength of the interaction the frequency ${\mathrm{\ensuremath{\omega}}}_{\mathit{s}}$ can be interpreted either as a frequency of the single-electron oscillations or the cutoff frequency of the shot noise associated with the current I.

Physical review. B, Condensed matterJan 15, 19943 citations

Electron Gas

Philippe A. Martin, FRANÇOIS ROTHEN

Springer eBooksJan 1, 20040 citations

$m^*$ of two-dimensional electron gas: A neural canonical transformation study$m^*$ of two-dimensional electron gas: A neural canonical transformation study

Hao Xie, Linfeng Zhang, Lei Wang

The quasiparticle effective mass m^\ast m * of interacting electrons is a fundamental quantity in the Fermi liquid theory. However, the precise value of the effective mass of uniform electron gas is still elusive after decades of research. The newly developed neural canonical transformation approach [Xie et al., J. Mach. Learn. 1, (2022)] offers a principled way to extract the effective mass of electron gas by directly calculating the thermal entropy at low temperature. The approach models a variational many-electron density matrix using two generative neural networks: an autoregressive model for momentum occupation and a normalizing flow for electron coordinates. Our calculation reveals a suppression of effective mass in the two-dimensional spin-polarized electron gas, which is more pronounced than previous reports in the low-density strong-coupling region. This prediction calls for verification in two-dimensional electron gas experiments.The quasiparticle effective mass m^\ast m * of interacting electrons is a fundamental quantity in the Fermi liquid theory. However, the precise value of the effective mass of uniform electron gas is still elusive after decades of research. The newly developed neural canonical transformation approach [Xie et al., J. Mach. Learn. 1, (2022)] offers a principled way to extract the effective mass of electron gas by directly calculating the thermal entropy at low temperature. The approach models a variational many-electron density matrix using two generative neural networks: an autoregressive model for momentum occupation and a normalizing flow for electron coordinates. Our calculation reveals a suppression of effective mass in the two-dimensional spin-polarized electron gas, which is more pronounced than previous reports in the low-density strong-coupling region. This prediction calls for verification in two-dimensional electron gas experiments.

arXiv:2201.03156SciPost PhysicsJun 14, 202315 citations

The Free Electron Gas

U. Rößler

Springer eBooksJan 1, 20091 citation

m^*

of two-dimensional electron gas: A neural canonical transformation study